Bernoulli's Principle:

Bernoulli's principle is a fundamental concept in fluid dynamics that describes the behavior of flowing fluids, such as liquids and gases. It is named after Daniel Bernoulli, a Swiss mathematician and physicist who formulated the principle.

The principle is based on the conservation of energy for flowing fluids. It states that as the speed of a fluid (liquid or gas) increases, its pressure decreases, and vice versa. In other words, when the fluid flows through a constriction (like a pipe or a nozzle), its speed increases, and its pressure decreases. Conversely, when the fluid slows down, its pressure increases.

The continuity equation is a fundamental principle in physics that states that the mass of a closed system must remain constant. In other words, matter cannot be created or destroyed. This can be expressed mathematically as:

∂ρ/∂t + ∇∙(ρv) = 0

Hydrodynamics:

Definition: Hydrodynamics is the study of the motion of fluids (liquids and gases) and the forces acting on them.

Terminal Velocity:

Definition: Terminal velocity is the constant speed that a freely falling object eventually reaches when the resistance of the medium (usually air for objects falling near the Earth's surface) prevents further acceleration.